This new proposal of non-relativistic string was further studied in [1]} where canonical formulation of this theory was found. We also analysed the possibility to impose uniform light-cone gauge on this theory and found Hamiltonian on reduced phase space. Uniform light-cone
gauge was used in
[2]}, [3]}, [4]}, [5]}
For review, see for example [6]}. where it was shown that it is very efficient for the study of dynamics of the relativistic
string in \(AdS_5\times S^5\) . We showed in [1]}
that such an uniform light cone gauge fixing can be imposed in case of non-relativistic string as well at least at the formal level.
